//#define NDEBUG #include #include #include #include namespace n91 { using i8 = std::int_fast8_t; using i32 = std::int_fast32_t; using i64 = std::int_fast64_t; using u8 = std::uint_fast8_t; using u32 = std::uint_fast32_t; using u64 = std::uint_fast64_t; using isize = std::ptrdiff_t; using usize = std::size_t; constexpr usize operator"" _z(unsigned long long x) noexcept { return static_cast(x); } class rep { const usize f, l; public: class itr { friend rep; usize i; constexpr itr(const usize x) noexcept : i(x) {} public: void operator++() noexcept { ++i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; constexpr rep(const usize first, const usize last) noexcept : f(first), l(last) {} constexpr itr begin() const noexcept { return itr(f); } constexpr itr end() const noexcept { return itr(l); } }; class revrep { const usize f, l; public: class itr { friend revrep; usize i; constexpr itr(usize x) noexcept : i(x) {} public: void operator++() noexcept { --i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; constexpr revrep(usize first, usize last) noexcept : f(--first), l(--last) {} constexpr itr begin() const noexcept { return itr(l); } constexpr itr end() const noexcept { return itr(f); } }; template using vec_alias = std::vector; template auto md_vec(const usize n, const T &value) { return std::vector(n, value); } template auto md_vec(const usize n, Args... args) { return std::vector(n, md_vec(args...)); } template constexpr T difference(const T &a, const T &b) { return a < b ? b - a : a - b; } template T scan() { T ret; std::cin >> ret; return ret; } } // namespace n91 #include #include #include #include #include namespace n91 { void main_() { static constexpr u64 MaxK = static_cast(300); const auto h = scan(); const auto w = scan(); const usize gx = scan() - 1_z; const usize gy = scan() - 1_z; auto a = md_vec(h, w, static_cast(0)); for (auto &v : a) { for (auto &e : v) { e = scan(); } } const usize q = scan(); struct query_type { usize x, y; u64 k; u64 ans; }; std::vector query(q); for (auto &e : query) { e.x = scan() - 1_z; e.y = scan() - 1_z; e.k = scan(); } std::array, static_cast(MaxK)> small; for (const auto i : rep(0_z, q)) { if (query[i].k < MaxK) { small[query[i].k].push_back(i); } } { auto d = md_vec(h, w, std::numeric_limits::max()); struct node_type { usize x, y; u64 c; constexpr node_type(const usize x, const usize y, const u64 c) : x(x), y(y), c(c) {} constexpr bool operator<(const node_type &rhs) const noexcept { return rhs.c < c; } }; std::priority_queue que; for (const auto k : rep(1_z, static_cast(MaxK))) { for (auto &v : d) { std::fill(v.begin(), v.end(), std::numeric_limits::max()); } const u64 kk = static_cast(k * k); std::array dx{-1_z, 0_z, 0_z, 1_z}, dy{0_z, -1_z, 1_z, 0_z}; que.emplace(gx, gy, static_cast(0)); d[gx][gy] = static_cast(0); while (!que.empty()) { const usize x = que.top().x; const usize y = que.top().y; const u64 c = que.top().c; que.pop(); if (d[x][y] < c) { continue; } const u64 nc = c + a[x][y] + kk; for (const auto i : rep(0_z, 4_z)) { const usize nx = x + dx[i]; const usize ny = y + dy[i]; if (nx < h && ny < w && d[nx][ny] > nc) { d[nx][ny] = nc; que.emplace(nx, ny, nc); } } } for (const auto i : small[k]) { auto &e = query[i]; e.ans = d[e.x][e.y] + a[e.x][e.y] + kk; } } } { using p = std::pair; auto d = md_vec( h, w, p(std::numeric_limits::max(), std::numeric_limits::max())); std::array dx{-1_z, 0_z, 0_z, 1_z}, dy{0_z, -1_z, 1_z, 0_z}; struct node_type { usize x, y; p c; constexpr node_type(const usize x, const usize y, const p c) : x(x), y(y), c(c) {} constexpr bool operator<(const node_type &rhs) const noexcept { return rhs.c < c; } }; std::priority_queue que; que.emplace(gx, gy, p(0_z, static_cast(0))); d[gx][gy] = {0_z, static_cast(0)}; while (!que.empty()) { const usize x = que.top().x; const usize y = que.top().y; const p c = que.top().c; que.pop(); if (d[x][y] < c) { continue; } const p nc = p(c.first + 1_z, c.second + a[x][y]); for (const auto i : rep(0_z, 4_z)) { const usize nx = x + dx[i]; const usize ny = y + dy[i]; if (nx < h && ny < w && d[nx][ny] > nc) { d[nx][ny] = nc; que.emplace(nx, ny, nc); } } } for (auto &e : query) { if (e.k >= MaxK) { const usize len = d[e.x][e.y].first + 1_z; const u64 dist = d[e.x][e.y].second + a[e.x][e.y]; e.ans = dist + e.k * e.k * len; } } } for (const auto &e : query) { std::cout << e.ans << std::endl; } } } // namespace n91 int main() { n91::main_(); return 0; }